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Hierarchical recursive least squares algorithm for Hammerstein systems using the filtering method

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Abstract

A hierarchical recursive least squares algorithm is presented in the paper to estimate the parameters of Hammerstein nonlinear systems by combining the filtering method and least squares search principle. The key is to decompose the Hammerstein system into two subsystems by adopting the hierarchical idea. Numerical examples are given to illustrate the performance of the proposed algorithm.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China (Nos. 61174032, 61202473), the Doctoral Foundation of Higher Education Priority Fields of Scientific Research (No. 20110093130001).

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Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi , 214122, People’s Republic of China

    Ziyun Wang, Yan Wang & Zhicheng Ji

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  1. Ziyun Wang
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  2. Yan Wang
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  3. Zhicheng Ji
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Correspondence to Yan Wang.

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Wang, Z., Wang, Y. & Ji, Z. Hierarchical recursive least squares algorithm for Hammerstein systems using the filtering method. Nonlinear Dyn 77, 1773–1781 (2014). https://doi.org/10.1007/s11071-014-1416-z

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  • DOI: https://doi.org/10.1007/s11071-014-1416-z

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